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Finding the Third Proportional to 9,350.25 and 20,460.38

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Solution

The third proportional to 9,350.25 and 20,460.38 is: 44,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.25 : 20,460.38 = 20,460.38 : x
  2. Step 2: Convert to fraction form
    9,350.25/20,460.38 = 20,460.38/x
  3. Step 3: Cross multiply
    9,350.25x = 20,460.38 × 20,460.38
  4. Step 4: Simplify right side
    9,350.25x = 418,626,945.14
  5. Step 5: Solve for x
    x = 418,626,945.14/9,350.25
  6. Step 6: Final answer
    x = 44,771.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.